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2 years ago

Helpppp What is the slope of each line? у 8 6 4 2 O 2 4 6 8

Mathematics

2 answers:

Crazy boy [7]2 years ago

8 0

The slope is 2 hope I helped

timurjin [86]2 years ago

4 0

86y064728473026642738372572825373

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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

2 years ago

What is -5 5/8+3 1/2 A. -3 1/8 b. -2 1/2 c. -2 1/8 d. -7/8

pshichka [43]

Answer:

a is the answer.

Step-by-step explanation:

6 0

2 years ago

During a sale, everything in the store was ⅕ off the ticketed price. What percent of an item's original price should you expect

tiny-mole [99]

You would pay 80% of the original price because 1/5 is 20% and you would subtract 20 from 100 to get 80 as your answer

Hope this Helps :3

4 0

3 years ago

Which smallest number must be assigned to # to make the number 378#96 divisible by 8?

skelet666 [1.2K]

Answer:

Step-by-step explanation:

378296/8=47287

5 0

2 years ago

200x - y + 500= 0 Put it in Y=mx + b form

blondinia [14]

Answer:

Step-by-step explanation:

1. Put y on the other side - 200x + 500 = y

y= 200x +500

See, this works because -y, when bringing it to another side, you would be adding it. That cancels out the negative, giving you your slope-intercept form. All you have to do is flip it into y=mx + b form, and that's how you get y=200x + 500

7 0

2 years ago